Let R be a commutative ring with identity and let M be a unitary left R-module. The purpose
of this paper is to investigate some new results (up to our knowledge) on the concept of semi …

Let R be a commutative ring with identity and M a unitary R-module, and n> 1 an integer
number. As a generalization of the concept of prime submodules, a proper submodule N of …

Let R be a commutative ring with l, and A is a (right) unitary R-module. The module A is said
to be a multiplication module if every submodule N of A has the form AI for some ideal I of R …

When an Irreducible Submodule is Primary 1 Introduction Page 1 International Journal of
Algebra, Vol. 2, 2008, no. 20, 995 - 998 When an Irreducible Submodule is Primary A …

A proper submodule N of M is prime if for any r GR and m such that rm G iV, either rM Ç N or
m G N. It is easy to sho if N is a prime submodule of M then the annihilator P of the M/N is a …

S-second submodules of a module Page 1 © Algebra and Discrete Mathematics RESEARCH
ARTICLE Volume 32 (2021). Number 2, pp. 197ś210 DOI:10.12958/adm1437 S-second …

Let R be a ring and M a left R-module. Then, M is called a (D< sub> 11)-module if every
submodule of M has a supplement that is a direct summand of M, and M is called a (D< sub> …

In this note all rings are commutative rings with identity and all modules are unital. Let R be
a commutative ring with identity. An R-module M is called a multiplication module provided …

I t is proved that if R is a right Coldie ring which satisfies dcc on right annihilators and if n is a
positive integer such that every finitely generated free right R-module satisfies acc on n …

It is well known that the set of nilpotent elements of a commutative ring is the intersection of
all the prime ideals. A generalization of this to modules over a commutative ring was …